Simplify. sqrt 245/4 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(245/4). sqrt(245/4) = sqrt(245) / sqrt(4)Simplify sqrt(245): Simplify sqrt(245). Find the prime factorization of 245 and try to make identical pairs of factors. sqrt(245) = sqrt(5 * 7 * 7) = sqrt(5) * sqrt(7 * 7) = sqrt(5) * 7Evaluate sqrt(4): Now, let's evaluate sqrt(4). sqrt(4) = sqrt(2 * 2) = 2Combine Results: Combine the results from the previous steps. sqrt(245/4) = (sqrt(245)) / (sqrt(4)) = (sqrt(5) * 7) / 2 = (7 * sqrt(5)) / 2

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Simplify. $\newline$ $\sqrt{\frac{245}{4}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{245}{4}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{245}{4}}$ . $\sqrt{\frac{245}{4}} = \frac{\sqrt{245}}{\sqrt{4}}$
Simplify $\sqrt{245}$ : Simplify $\sqrt{245}$ . $\newline$ Find the prime factorization of $245$ and try to make identical pairs of factors. $\newline$ $\sqrt{245} = \sqrt{5 \times 7 \times 7}$ $\newline$ $= \sqrt{5} \times \sqrt{7 \times 7}$ $\newline$ $= \sqrt{5} \times 7$
Evaluate $\sqrt{4}$ : Now, let's evaluate $\sqrt{4}$ . $\sqrt{4} = \sqrt{2 \times 2}$ $= 2$
Combine Results: Combine the results from the previous steps. $\newline$ $\sqrt{\frac{245}{4}} = \frac{\sqrt{245}}{\sqrt{4}}$ $\newline$ $= \frac{\sqrt{5} \times 7}{2}$ $\newline$ $= \frac{7 \times \sqrt{5}}{2}$